No you can have numbers past infinity op is wrong.

As for how to order past the first infinity it’s easy.

Of course first you have 1 < 2 < 3 < 4 < … Then you take a new number not equal to any of the others let’s call it omega. Define omega to be larger than the others. So 1 < omega, 2 < omega,…

This you can of course continue even further by introducing omega + 1 which is larger than omega and therefore larger than all natural numbers.

You can continue this even further by introducing a new number let’s call it lambda that is bigger than all omega + x where x is a natural number.

This can be continued forever i.e. an infinite amount of times.